The existence of solutions for systems of generalized set-valued nonlinearquasi-variational inequalities

Fixexd point theory and applications

YQ Qiu¹  XL Li² 

[1] College of Applied Science, Jiangxi University of Science and Technology, Ganzhou, P.R. China;Department of science, Nanchang Institute of Technology, Nanchang, P.R. China

关键词: system of generalized set-valued nonlinear quasi-variational inequalities;    projection operator technique;    system of Wiener-Hopf equations;    iterative algorithm;    convergence criteria;   

DOI  :  10.1186/1687-1812-2013-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce and study a class of new systems of generalized set-valuednonlinear quasi-variational inequalities in a Hilbert space. By using the projectionoperator technique and the system of Wiener-Hopf equations technique, we suggest severalnew iterative algorithms to find the approximate solutions to these problems and prove theconvergence of the different types of iterative sequences respectively. It is the firsttime that the system of Wiener-Hopf equations technique has been used to solve the systemof variational inequalities problems, and the technique is more general than theprojection operator technique. Our results improve and extend some known results in theliterature.

【 授权许可】

CC BY